A016985 a(n) = (7n)^5.

0, 16807, 537824, 4084101, 17210368, 52521875, 130691232, 282475249, 550731776, 992436543, 1680700000, 2706784157, 4182119424, 6240321451, 9039207968, 12762815625, 17623416832, 23863536599, 31757969376, 41615795893, 53782400000, 68641485507, 86617093024

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Crossrefs

Cf. A000584, A008589.

Programs

Magma

[(7*n)^5: n in [0..25]]; // Vincenzo Librandi, May 24 2011

Maple

A016985:=n->(7*n)^5: seq(A016985(n), n=0..30); # Wesley Ivan Hurt, Aug 27 2015

Mathematica

(7Range[0,20])^5  (* Harvey P. Dale, Feb 13 2011 *)
CoefficientList[Series[16807 (x + 26 x^2 + 66 x^3 + 26 x^4 + x^5)/(x - 1)^6, {x, 0, 30}], x] (* Wesley Ivan Hurt, Aug 27 2015 *)

Formula

From Wesley Ivan Hurt, Aug 27 2015: (Start)

a(n) = (7n)^5 = 16807*n^5 = A000584(A008589(n)).

G.f.: 16807*(x+26*x^2+66*x^3+26*x^4+x^5)/(x-1)^6.

a(n) = 6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6), n>5. (End)